Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal
Summary: For \(n \geq 3\), point charges \(n - 1\) of which are negative and equal quasi-exact periodic solutions of their Coulomb equation of motion are found. These solutions describe a motion of the negative charges around a coordinate axis in such a way that their coordinates coincide with vertices of a regular polygon in planes perpendicular to the axis along which the positive charge moves. The Weinstein and center Lyapunov theorems are utilized.
scientific article; zbMATH DE number 6962653